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Finding the Fourth Proportional to 584.71, 877.07 and 259.85

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Solution

The fourth proportional to 584.71, 877.07 and 259.85 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.71 : 877.07 = 259.85 : x
  2. Step 2: Convert to fraction form
    584.71/877.07 = 259.85/x
  3. Step 3: Cross multiply
    584.71x = 877.07 × 259.85
  4. Step 4: Simplify right side
    584.71x = 227,906.64
  5. Step 5: Solve for x
    x = 227,906.64/584.71
  6. Step 6: Final answer
    x = 389.78

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.